Identities of the Rogers–Ramanujan–Bailey type

Abstract

A multiparameter generalization of the Bailey pair is defined in such a way as to include as special cases all Bailey pairs considered by W.N. Bailey in his paper [Identities of the Rogers–Ramanujan type, Proc. London Math. Soc. (2) 50 (1949) 421–435]. This leads to the derivation of a number of elegant new Rogers–Ramanujan type identities.